The cards Question When is the relationship between two variables linear? Tap to flip Answer When plotting it on a pair of axes forms a straight line. Question What does the gradient of a line measure? Tap to flip Answer How steep the line is. Question How is the gradient of a line calculated? Tap to flip Answer As the rate of change in the y-direction with respect to the positive x-direction. Question What is the amount y changes when x increases by one called? Tap to flip Answer The gradient (the rate of change). Question What is an intercept? Tap to flip Answer The coordinate where a line or curve meets a given axis. Question In y = mx + c, what does m represent? Tap to flip Answer The gradient. Question In y = mx + c, what does c represent? Tap to flip Answer The y-intercept. Question How can the gradient and y-intercept be revealed from a linear equation? Tap to flip Answer By rearranging it into the form y = mx + c. Question How do you find points to plot the graph of an equation? Tap to flip Answer Substitute values for one variable to find the corresponding values of the other, then plot these pairs. Question Why check a third point when two are enough to plot a linear graph? Tap to flip Answer In case one pair of coordinates was calculated incorrectly. Question What kind of line is the graph of y = a (a fixed value of y)? Tap to flip Answer A horizontal line. Question What kind of line is the graph of x = a (a fixed value of x)? Tap to flip Answer A vertical line. Question Where on a graph do you read the y-intercept? Tap to flip Answer Where the graph crosses the y-axis. Question What is the value of x at the y-intercept? Tap to flip Answer Zero. Question Why is the y-intercept the constant in y = mx + c? Tap to flip Answer Because the y-intercept is where x is zero, which leaves y = c. Question What does adding a constant to a linear equation do to its graph? Tap to flip Answer It translates the graph. Question How is the gradient found from two points on a line? Tap to flip Answer Change in y divided by change in x. Question How do you find the y-intercept from the gradient and one point? Tap to flip Answer Substitute the gradient and the coordinate pair into y = mx + c and solve for c. Question When are two lines parallel? Tap to flip Answer When they are straight lines that are always the same non-zero distance apart. Question What is true of the rate of change on a linear graph? Tap to flip Answer It is constant. Question Which two conditions on their equations make two linear graphs parallel? Tap to flip Answer The same gradient and different y-intercepts. Question Two linear graphs have the same gradient and the same y-intercept. What are they? Tap to flip Answer The same line. Question When are two variables in direct proportion? Tap to flip Answer When they have a constant multiplicative relationship. Question What form does the equation of a direct proportion graph take? Tap to flip Answer y = kx Question Which point is always on a direct proportion graph? Tap to flip Answer The origin. Question On a direct proportion graph, what does the gradient tell you? Tap to flip Answer The constant of proportionality. Question Is the gradient alone enough to show a straight-line graph shows direct proportion? Tap to flip Answer No. You also check the y-intercept is zero, so the equation is of the form y = kx. Question When are two variables inversely proportional? Tap to flip Answer When there is a constant multiplicative relationship between one variable and the reciprocal of the other. Question What form does the equation of an inverse proportion graph take? Tap to flip Answer y = k/x Question Give an alternative way of writing that y is inversely proportional to x. Tap to flip Answer y ∝ 1/x Question How should the solution to a context-based problem be given? Tap to flip Answer Fully interpreted in the context, e.g. 'It would take 6 workers 60 hours to paint the building', not as a bare coordinate pair. Question Where is the midpoint of a line segment? Tap to flip Answer Halfway between its two end points. Question What can you use to identify parallel lines? Tap to flip Answer Either their graphs or their equations. Where this deck sits in the curriculum Curriculum National Curriculum for England Stage GCSE (Years 10–11) Course GCSE Maths Unit Linear graphs Tiers foundation and higher England's National Curriculum sets what is taught; the units and their order are Oak National Academy's. Flash Feed is not affiliated with Oak or any exam board.
How this deck was checked On 2026-11-02, every card was compared with its source: the lessons of Oak National Academy, a public body funded by England's Department for Education that publishes lessons for the national curriculum. Because the cards come from those lessons, no second source was sought. The comparison was done automatically, not by a teacher, so a card can still be wrong. Flash Feed is not affiliated with any source named here.
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A Maths lesson by Oak National Academy licensed under Open Government Licence (OGL)
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